Comparison theorem
The adapted solution and comparison theorem for backward stochastic differential equations with Poisson jumps and applications
... The comparison theorem is also an important property of ...the comparison theorem of continuous BSDEs, see for instance, Darling and Pardoux [3], Liu and Ren [9] and the above ...with ...
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Comparison theorem of one-dimensional stochastic hybrid delay systems
... the comparison theorems of two Itˆ o’s stochastic differential equations have received a lot of attention, for example, Anderson [1], Gal’cuk and Davis [4], Ikeda and Watanable [6], Mao [10], Skorohod [14], Yamada ...
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Sturm Picone Comparison Theorem of Second Order Linear Equations on Time Scales
... α 1, β 1 , α, β are integers, and Δ is the forward difference operator: Δxt xt 1− xt. In 1995, Zhang 9 extended this result. But we will remark that in 8, Chapter 8 the authors employed the Riccati equation and a positive ...
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Brownian motion and the distance to a submanifold
... Jacobian comparison theorem, a characterization of local time on a hypersurface which includes a formula for the mean local time, an exit time estimate for tubular neighbourhoods and a concentration ...
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Bounds for Certain Delay Integral Inequalities on Time Scales
... Our aim in this paper is to investigate some delay integral inequalities on time scales by using Gronwall’s inequality and comparison theorem. Our results unify and extend some delay integral inequalities ...
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Analysis of a stochastic predator–prey population model with Allee effect and jumps
... The remainder of the present paper is organized as follows. First, in Sect. 2, we prove that this model has a unique global positive solution starting from the positive initial value by the comparison ...
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Spatial asymptotics and strong comparison principle for some fractional stochastic heat equations
... Here −ν(−∆) α/ 2 is the fractional Laplacian with ν > 0 and α ∈ (0, 2], σ : R → R is a globally Lipschitz function, and ˙ F (t, x) is a Gaussian noise which is white in time and colored in space. Under some suitable ...
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On cyclicity in weighted Dirichlet spaces
... a comparison theorem for cyclicity in these spaces and provide a result on the geometry of the family of cyclic vectors in general functional Hilbert ...
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The lower bounds of the first eigenvalues for the biharmonic operator on manifolds
... Abstract In this paper, we use the Reilly formula and the Hessian comparison theorem to estimate the lower bounds of the first eigenvalues for the biharmonic operator eigenvalue problems [r] ...
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COMPARISON ON THE ROBUSTNESS AGAINST ERASURE RATES OF NUMERICALLY ERASURE-ROBUST FRAMES
... Abstract: In this paper, we mainly study the subframe condition numbers of numerically erasure-robust frames, which can be used in signal processing, and establish a comparison theorem on the condition ...
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Preconditioned Iterative Method for Regular Splitting
... The outline of the paper is as follows: In Section 2, we review the precondi- tioned iterative method and some known results. And the iterative algorithm based on the splitting is shown. Section 3 consists of a ...
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Well-posedness of a ratio-dependent Lotka–Volterra system with feedback control
... This paper is organized as follows. In Sect. 2, we provide the conditions for perma- nence to system (1.1) by using a comparison theorem and developing some new analysis techniques. In Sect. 3, by ...
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Generalized Gronwall fractional summation inequalities and their applications
... They all adopted the same method: After establishing a comparison theorem, they gave an explicit solution to the linear discrete fractional sum equation of the initial value problem, whi[r] ...
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Manifolds with Bakry Emery Ricci Curvature Bounded Below
... volume comparison theorem for manifolds with nonnegative Bakry-Émery Ricci curvature which allows us to prove a topolological rigidity theorem for such ...
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Quantitative isoperimetry à la Levy Gromov
... Levy-Gromov comparison Theorem, stating that, under a positive lower bound on the Ricci tensor, the isoperimetric profile of the manifold is bounded from below by the isoperimetric profile of the ...
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Stolarsky and Gini Divergence Measures in Information Theory
... Using the comparison theorem for Gini means, we may state the following result concerning the Gini divergence measures.. Theorem 8..[r] ...
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Algorithms for Common Solutions to Generalized Mixed Equilibrium Problems and Fixed Point Problems under Nonlinear Transformations in Banach Spaces
... Remark 3.2 Theorem 3.1 extends, improves and develops Theorem 3.1 of Takahashi [12], Theorem 3.1 of Akashi and Takahashi [14], Theorem 3.1 of Takahashi [15] and Theorem 3.1 of Alizadeh a[r] ...
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Fixed point theorems in CAT(0) spaces with applications
... Remark . Theorem . generalizes Theorem . of Yang and Pu [] in the following aspects: () The underlying spaces of Theorem . and Theorem . of Yang and Pu [] are CAT() spaces and ...
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Belyi's theorem revisited
... and given subset S of P 1 C of critical values. This fact occurs implicitly at several places in the literature. We include a short, self-contained and elementary proof which, in contrast to the existing literature, ...
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Strong convergence theorem of a new iterative method for weak contractions and comparison of the rate of convergence in Banach space
... Fixed point theory plays very important role in nonlinear analysis and applications. It can be applied to study the existence of various equations. In 2003, Berinde [1] introduced a new type of contraction, called weak ...
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